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Finding the Third Proportional to 716,731,299 and 1,689,534,948.38

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Solution

The third proportional to 716,731,299 and 1,689,534,948.38 is: 3,982,703,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,731,299 : 1,689,534,948.38 = 1,689,534,948.38 : x
  2. Step 2: Convert to fraction form
    716,731,299/1,689,534,948.38 = 1,689,534,948.38/x
  3. Step 3: Cross multiply
    716,731,299x = 1,689,534,948.38 × 1,689,534,948.38
  4. Step 4: Simplify right side
    716,731,299x = 2,854,528,341,780,513,792
  5. Step 5: Solve for x
    x = 2,854,528,341,780,513,792/716,731,299
  6. Step 6: Final answer
    x = 3,982,703,623.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.